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Finding the Fourth Proportional to 49,493.82, 68,302.78 and 27,981.84

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Solution

The fourth proportional to 49,493.82, 68,302.78 and 27,981.84 is: 38,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,493.82 : 68,302.78 = 27,981.84 : x
  2. Step 2: Convert to fraction form
    49,493.82/68,302.78 = 27,981.84/x
  3. Step 3: Cross multiply
    49,493.82x = 68,302.78 × 27,981.84
  4. Step 4: Simplify right side
    49,493.82x = 1,911,237,461.52
  5. Step 5: Solve for x
    x = 1,911,237,461.52/49,493.82
  6. Step 6: Final answer
    x = 38,615.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.